Strong vector equilibrium problems

被引：61

作者：

Gong, Xunhua ^{[1
]}

机构：

[1] Nanchang Univ, Dept Math, Nanchang 330047, Peoples R China

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2006年 / 36卷 / 03期

基金：

中国国家自然科学基金;

关键词：

vector equilibrium problem; strong solution; arc-wise connectedness; closedness; necessary and sufficient condition;

D O I：

10.1007/s10898-006-9012-5

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper, the existence of the solution for strong vector equilibrium problems is studied by using the separation theorem for convex sets. The arc-wise connectedness and the closedness of the strong solution set for vector equilibrium problems are discussed; and a necessary and sufficient condition for the strong solution is obtained.

引用

页码：339 / 349

页数：11

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